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Finding the Fourth Proportional to 6,112.54, 9,161.25 and 3,482.25

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Solution

The fourth proportional to 6,112.54, 9,161.25 and 3,482.25 is: 5,219.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.54 : 9,161.25 = 3,482.25 : x
  2. Step 2: Convert to fraction form
    6,112.54/9,161.25 = 3,482.25/x
  3. Step 3: Cross multiply
    6,112.54x = 9,161.25 × 3,482.25
  4. Step 4: Simplify right side
    6,112.54x = 31,901,762.81
  5. Step 5: Solve for x
    x = 31,901,762.81/6,112.54
  6. Step 6: Final answer
    x = 5,219.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.